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Finding the Fourth Proportional to 25,980.69, 35,855.25 and 14,651.22

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Solution

The fourth proportional to 25,980.69, 35,855.25 and 14,651.22 is: 20,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980.69 : 35,855.25 = 14,651.22 : x
  2. Step 2: Convert to fraction form
    25,980.69/35,855.25 = 14,651.22/x
  3. Step 3: Cross multiply
    25,980.69x = 35,855.25 × 14,651.22
  4. Step 4: Simplify right side
    25,980.69x = 525,323,155.91
  5. Step 5: Solve for x
    x = 525,323,155.91/25,980.69
  6. Step 6: Final answer
    x = 20,219.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.